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3794805840 = 2435737411489
BaseRepresentation
bin1110001000110000…
…0010010001010000
3100210110121002222110
43202030002101100
530232432241330
61424315505320
7163016213610
oct34214022120
910713532873
103794805840
111678083881
1289aa58240
13486269157
1427ddbca40
15173241db0
hexe2302450

3794805840 has 320 divisors, whose sum is σ = 14154094080. Its totient is φ = 822804480.

The previous prime is 3794805827. The next prime is 3794805851. The reversal of 3794805840 is 485084973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3794805840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2547816 + ... + 2549304.

It is an arithmetic number, because the mean of its divisors is an integer number (44231544).

Almost surely, 23794805840 is an apocalyptic number.

3794805840 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 3794805840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077047040).

3794805840 is an abundant number, since it is smaller than the sum of its proper divisors (10359288240).

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

3794805840 is a wasteful number, since it uses less digits than its factorization.

3794805840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3794805840 is about 61601.9954222264. The cubic root of 3794805840 is about 1559.7794231193.

The spelling of 3794805840 in words is "three billion, seven hundred ninety-four million, eight hundred five thousand, eight hundred forty".