3497486379552 has 864 divisors, whose sum is σ = 11586904842240. Its totient is φ = 1036798963200.

The previous prime is 3497486379547. The next prime is 3497486379677. The reversal of 3497486379552 is 2559736847943.

It is a happy number.

3497486379552 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 4 + 8 + 63 + 7 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

Its product of digits (1371686400) is a multiple of the sum of its prime factors (560).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15683795313 + ... + 15683795535.

Almost surely, 2^{3497486379552} is an apocalyptic number.

3497486379552 is a gapful number since it is divisible by the number (32) 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 3497486379552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793452421120).

3497486379552 is an abundant number, since it is smaller than the sum of its proper divisors (8089418462688).

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

3497486379552 is a wasteful number, since it uses less digits than its factorization.

3497486379552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 529 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 3497486379552 in words is "three trillion, four hundred ninety-seven billion, four hundred eighty-six million, three hundred seventy-nine thousand, five hundred fifty-two".