3735492552 has 320 divisors, whose sum is σ = 12513916800. Its totient is φ = 1027676160.

The previous prime is 3735492539. The next prime is 3735492613. The reversal of 3735492552 is 2552945373.

3735492552 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 4 + 92 + 552 = 666.

Its product of digits (1134000) is a multiple of the sum of its prime divisors (1125).

It is a junction number, because it is equal to n+sod(n) for n = 3735492498 and 3735492507.

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, 3513573 + ... + 3514635.

It is an arithmetic number, because the mean of its divisors is an integer number (39105990).

Almost surely, 2^3735492552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735492552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256958400).

3735492552 is an abundant number, since it is smaller than the sum of its proper divisors (8778424248).

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

3735492552 is a wasteful number, since it uses less digits than its factorization.

3735492552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1125 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 3735492552 is about 61118.6759673342. The cubic root of 3735492552 is about 1551.6101965476.

The spelling of 3735492552 in words is "three billion, seven hundred thirty-five million, four hundred ninety-two thousand, five hundred fifty-two".