3670739669376 has 640 divisors, whose sum is σ = 12430057701600. Its totient is φ = 1065996288000.

The previous prime is 3670739669369. The next prime is 3670739669383. The reversal of 3670739669376 is 6739669370763.

3670739669376 is a `hidden beast` number, since 36 + 70 + 73 + 96 + 6 + 9 + 376 = 666.

It is an interprime number because it is at equal distance from previous prime (3670739669369) and next prime (3670739669383).

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

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, 719609226 + ... + 719614326.

Almost surely, 2^{3670739669376} is an apocalyptic number.

3670739669376 is a gapful number since it is divisible by the number (36) 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 3670739669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215028850800).

3670739669376 is an abundant number, since it is smaller than the sum of its proper divisors (8759318032224).

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

3670739669376 is a wasteful number, since it uses less digits than its factorization.

3670739669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 972182736, while the sum is 72.

The spelling of 3670739669376 in words is "three trillion, six hundred seventy billion, seven hundred thirty-nine million, six hundred sixty-nine thousand, three hundred seventy-six".