3670970400 has 216 divisors, whose sum is σ = 13363144704. Its totient is φ = 947289600.

The previous prime is 3670970363. The next prime is 3670970419. The reversal of 3670970400 is 40790763.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214977 + ... + 231423.

Almost surely, 2^3670970400 is an apocalyptic number.

3670970400 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 3670970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681572352).

3670970400 is an abundant number, since it is smaller than the sum of its proper divisors (9692174304).

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

3670970400 is a wasteful number, since it uses less digits than its factorization.

3670970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16504 (or 16488 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3670970400 is about 60588.5335686547. The cubic root of 3670970400 is about 1542.6247474777.

The spelling of 3670970400 in words is "three billion, six hundred seventy million, nine hundred seventy thousand, four hundred".