3835432473600 has 1056 divisors, whose sum is σ = 15836397961216. Its totient is φ = 797058662400.

The previous prime is 3835432473577. The next prime is 3835432473617. The reversal of 3835432473600 is 63742345383.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3835432473600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468245505 + ... + 468253695.

Almost surely, 2^{3835432473600} is an apocalyptic number.

3835432473600 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 3835432473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918198980608).

3835432473600 is an abundant number, since it is smaller than the sum of its proper divisors (12000965487616).

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

3835432473600 is a wasteful number, since it uses less digits than its factorization.

3835432473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 3835432473600 in words is "three trillion, eight hundred thirty-five billion, four hundred thirty-two million, four hundred seventy-three thousand, six hundred".