3457903887936 has 147 divisors (see below), whose sum is σ = 10289155909201. Its totient is φ = 1152500742144.

The previous prime is 3457903887913. The next prime is 3457903887943. The reversal of 3457903887936 is 6397883097543.

The square root of 3457903887936 is 1859544.

It is a perfect power (a square), and thus also a powerful number.

3457903887936 is a `hidden beast` number, since 3 + 457 + 9 + 0 + 3 + 8 + 87 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 819488425536 + 2638415462400 = 905256^2 + 1624320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 401657200 + ... + 401665808.

Almost surely, 2^{3457903887936} is an apocalyptic number.

3457903887936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3457903887936 is the 1859544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3457903887936

3457903887936 is an abundant number, since it is smaller than the sum of its proper divisors (6831252021265).

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

3457903887936 is an frugal number, since it uses more digits than its factorization.

3457903887936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17248 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 3457903887936 in words is "three trillion, four hundred fifty-seven billion, nine hundred three million, eight hundred eighty-seven thousand, nine hundred thirty-six".