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3988358640 = 2432574119301
BaseRepresentation
bin1110110110111001…
…1000010111110000
3101021221210121111200
43231232120113300
531132004434030
61455432211200
7200556326520
oct35556302760
911257717450
103988358640
111767362972
12933839b00
134b73a6a36
1429b9a3680
15185225d60
hexedb985f0

3988358640 has 240 divisors, whose sum is σ = 15681871296. Its totient is φ = 889344000.

The previous prime is 3988358639. The next prime is 3988358683. The reversal of 3988358640 is 468538893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196990 + ... + 216290.

Almost surely, 23988358640 is an apocalyptic number.

3988358640 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 3988358640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840935648).

3988358640 is an abundant number, since it is smaller than the sum of its proper divisors (11693512656).

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

3988358640 is a wasteful number, since it uses less digits than its factorization.

3988358640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19368 (or 19359 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3988358640 is about 63153.4531122408. The cubic root of 3988358640 is about 1585.8595966875.

The spelling of 3988358640 in words is "three billion, nine hundred eighty-eight million, three hundred fifty-eight thousand, six hundred forty".