3917213672400 has 720 divisors, whose sum is σ = 15677615616000. Its totient is φ = 887220864000.

The previous prime is 3917213672371. The next prime is 3917213672443. The reversal of 3917213672400 is 42763127193.

3917213672400 is a `hidden beast` number, since 3 + 9 + 172 + 1 + 3 + 6 + 72 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1898793769 + ... + 1898795831.

Almost surely, 2^{3917213672400} is an apocalyptic number.

3917213672400 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 3917213672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838807808000).

3917213672400 is an abundant number, since it is smaller than the sum of its proper divisors (11760401943600).

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

3917213672400 is a wasteful number, since it uses less digits than its factorization.

3917213672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

Adding to 3917213672400 its reverse (42763127193), we get a palindrome (3959976799593).

The spelling of 3917213672400 in words is "three trillion, nine hundred seventeen billion, two hundred thirteen million, six hundred seventy-two thousand, four hundred".