3756410064 has 240 divisors, whose sum is σ = 11766104064. Its totient is φ = 1109203200.

The previous prime is 3756410057. The next prime is 3756410111. The reversal of 3756410064 is 4600146573.

It is a happy number.

3756410064 is a `hidden beast` number, since 3 + 7 + 5 + 641 + 0 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×3756410064² = 28221233137840968192, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14282797 + ... + 14283059.

Almost surely, 2^3756410064 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 3756410064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883052032).

3756410064 is an abundant number, since it is smaller than the sum of its proper divisors (8009694000).

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

3756410064 is a wasteful number, since it uses less digits than its factorization.

3756410064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3756410064 is about 61289.5591760946. The cubic root of 3756410064 is about 1554.5009739234.

The spelling of 3756410064 in words is "three billion, seven hundred fifty-six million, four hundred ten thousand, sixty-four".