738990000 has 800 divisors, whose sum is σ = 3346928640. Its totient is φ = 152064000.

The previous prime is 738989981. The next prime is 738990019. The reversal of 738990000 is 99837.

It is an interprime number because it is at equal distance from previous prime (738989981) and next prime (738990019).

It is a super-2 number, since 2×738990000² = 1092212440200000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32129989 + ... + 32130011.

Almost surely, 2^738990000 is an apocalyptic number.

738990000 is a gapful number since it is divisible by the number (70) 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 738990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673464320).

738990000 is an abundant number, since it is smaller than the sum of its proper divisors (2607938640).

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

738990000 is a wasteful number, since it uses less digits than its factorization.

738990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 738990000 is about 27184.3705095410. The cubic root of 738990000 is about 904.0924736373.

The spelling of 738990000 in words is "seven hundred thirty-eight million, nine hundred ninety thousand".