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3880055520 = 2534511171601
BaseRepresentation
bin1110011101000100…
…1111001011100000
3101000102000020120000
43213101033023200
530421243234040
61441003020000
7165102633135
oct34721171340
911012006500
103880055520
111711210160
1290350a600
1349ab16b53
1428b45058c
1517a981130
hexe744f2e0

3880055520 has 480 divisors, whose sum is σ = 15826811616. Its totient is φ = 884736000.

The previous prime is 3880055513. The next prime is 3880055561. The reversal of 3880055520 is 255500883.

3880055520 is a `hidden beast` number, since 3 + 8 + 80 + 0 + 55 + 520 = 666.

3880055520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2422720 + ... + 2424320.

Almost surely, 23880055520 is an apocalyptic number.

3880055520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913405808).

3880055520 is an abundant number, since it is smaller than the sum of its proper divisors (11946756096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3880055520 is a wasteful number, since it uses less digits than its factorization.

3880055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 3880055520 is about 62290.0916679370. The cubic root of 3880055520 is about 1571.3730965698.

The spelling of 3880055520 in words is "three billion, eight hundred eighty million, fifty-five thousand, five hundred twenty".